Fold turn, or call turn and call possible river push? I think it's a strange spot, because practically I have a bluffcatcher here, but it's not the best situation for him to bluff, with a huge shortstack fish included on the flop.
What do you think?

That's what you should be asking already on the flop actually cause his CBetting range will contain those hands which would be Check/Folding the turn. Therefore if I assume his CBetting range will contain weaker Ax hands then I'd also Call the turn and reevaluate the river, where I assume he isn't going to shove with worse.

Also he wont have bluffs in his range most likely here, the only hope is that we going to see worse Ax.